On a model in radiation hydrodynamics
From MaRDI portal
Publication:654162
DOI10.1016/j.anihpc.2011.06.002zbMath1328.76074OpenAlexW1986074508WikidataQ59316540 ScholiaQ59316540MaRDI QIDQ654162
Eduard Feireisl, Bernard Ducomet, Šarka Matušú-Nečasová
Publication date: 28 December 2011
Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.anihpc.2011.06.002
PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Ionized gas flow in electromagnetic fields; plasmic flow (76X05) Radiative transfer in astronomy and astrophysics (85A25)
Related Items (37)
On the steady equations for compressible radiative gas ⋮ Global existence results and asymptotic limits for a model of radiative fluid ⋮ Vanishing viscosity limit of the radiation hydrodynamic equations with far field vacuum ⋮ Low Mach number limit for a model of accretion disk ⋮ Global existence of a weak solution for a model in radiation magnetohydrodynamics ⋮ Classical global solutions for compressible radiative flow in a slab under semi-reflexive boundary conditions ⋮ Existence results and blow-up criterion of compressible radiation hydrodynamic equations ⋮ On regular solutions to compressible radiation hydrodynamic equations with far field vacuum ⋮ Decay rates of solutions to a P1-approximation model arising from radiation hydrodynamics ⋮ The large time behavior of strong solutions to a P1-approximation arising in radiating hydrodynamics ⋮ Singular limits in a model of radiative flow ⋮ The rotating Navier–Stokes–Fourier–Poisson system on thin domains ⋮ Global existence of smooth solutions for the compressible viscous fluid flow with radiation in \(\mathbb{R}^3\). ⋮ Formation of singularities in solutions to the compressible radiation hydrodynamics equations with vacuum ⋮ Global existence and asymptotic behavior of cylindrically symmetric solutions for the 3D infrarelativistic model with radiation ⋮ Existence results for the radiation hydrodynamic equations with degenerate viscosity coefficients and vacuum ⋮ Global Well-Posedness and Decay Rates of Strong Solutions to a $P1$-Approximation Model Arising in Radiation Hydrodynamics ⋮ Diffusive limits for a barotropic model of radiative flow ⋮ Existence of strong solutions with critical regularity to a polytropic model for radiating flows ⋮ Asymptotic stability of viscous contact wave for the inflow problem of the one-dimensional radiative Euler equations ⋮ On a simplified model for radiating flows ⋮ Low Mach number limit for a model of radiative flow ⋮ Global well-posedness and large time behavior of classical solutions to the diffusion approximation model in radiation hydrodynamics ⋮ Global existence for weak solutions of the Cauchy problem in a model of radiation hydrodynamics ⋮ On an incompressible model in radiation hydrodynamics ⋮ Formation of singularities of solutions to the IBVP of the Euler-Boltzmann equations ⋮ Global weak solutions to the Cauchy problem of compressible Navier-Stokes-Vlasov-Fokker-Planck equations ⋮ Derivation of the Navier-Stokes-Poisson system with radiation for an accretion disk ⋮ The Low Mach Number Limit for a Barotropic Model of Radiative Flow ⋮ On blow-up of regular solutions to the isentropic Euler and Euler-Boltzmann equations with vacuum ⋮ Local existence and Serrin-type blow-up criterion for strong solutions to the radiation hydrodynamic equations ⋮ Nonequilibrium-Diffusion Limit of the Compressible Euler-P1 Approximation Radiation Model at Low Mach Number ⋮ On some models in radiation hydrodynamics ⋮ Existence results for compressible radiation hydrodynamic equations with vacuum ⋮ Diffusion limits in a model of radiative flow ⋮ Unique global solution of an initial-boundary value problem to a diffusion approximation model in radiation hydrodynamics ⋮ On regular solutions of the \(3\)D compressible isentropic Euler-Boltzmann equations with vacuum
Cites Work
- The equations of magnetohydrodynamics: on the interaction between matter and radiation in the evolution of gaseous stars
- Ordinary differential equations, transport theory and Sobolev spaces
- Global weak solutions to the 1D compressible Navier-Stokes equations with radiation
- Regularity of the moments of the solution of a transport equation
- The nonaccretive radiative transfer equations: Existence of solutions and Rosseland approximation
- Parametrized measures and variational principles
- Averages over spheres for kinetic transport equations; hyperbolic Sobolev spaces and Strichartz inequalities.
- On the dynamics of gaseous stars
- Generalized solutions of the radiative transfer equations in a singular case
- Global existence of solutions for the one-dimensional motions of a compressible viscous gas with radiation: an ``infrarelativistic model
- Local existence and finite-time blow-up in multidimensional radiation hydrodynamics
- Shock profiles for non-equilibrium radiating gases
- Hyperbolicity in extended thermodynamics of Fermi and Bose gases
- Modelling radiative mean absorption coefficients
- On Commutators of Singular Integrals and Bilinear Singular Integrals
- Bornes sur la densité pour les équations de Navier-Stokes compressibles isentropiques avec conditions aux limites de Dirichlet
- Flux-limited diffusion models in radiation hydrodynamics
- Etude théorique et numérique d'une hiérarchie de modèles aux moments pour le transfert radiatif
- On Integrability up to the boundary of the weak solutions of the navier—stokes equations of compressible flow
- Singular limits in thermodynamics of viscous fluids
- On the existence of globally defined weak solutions to the Navier-Stokes equations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: On a model in radiation hydrodynamics
